Finding the Third Proportional to 117,007 and 181,090

Step by Step Solution

1. Step 1: Write the proportion equation
   117,007 : 181,090 = 181,090 : x
2. Step 2: Convert to fraction form
   117,007/181,090 = 181,090/x
3. Step 3: Cross multiply
   117,007x = 181,090 × 181,090
4. Step 4: Simplify right side
   117,007x = 32,793,588,100
5. Step 5: Solve for x
   x = 32,793,588,100/117,007
6. Step 6: Final answer
   x = 280,270.31